A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $\mathrm{P} imes 10^{11} \mathrm{Nm}^{-2}$, where the value of P is: (Take…

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A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine Young's modulus. The value of Young's modulus of the wire as per this experiment is $\mathrm{P} 	imes 10^{11} \mathrm{Nm}^{-2}$, where the value of P is: (Take $\left.\mathrm{g}=3 \pi \mathrm{~m} / \mathrm{s}^2ight)$

Aicharya · Accepted Answer

$\begin{aligned} & \frac{50 \mathrm{~g}}{\pi \mathrm{r}^2}=\mathrm{y} \cdot \frac{\Delta \ell}{\ell} \ & \frac{50 	imes 3 \pi}{\pi 	imes\left(3 	imes 10^{-3}ight)^2}=\mathrm{P} 	imes 10^{11} 	imes \frac{0.1 	imes 10^{-3}}{3} \ & \Rightarrow \mathrm{P}=\frac{50 	imes 3 	imes 3}{3^2 	imes 10^{-6} 	imes 10^{11} 	imes 0.1 	imes 10^{-3}} \ & \mathrm{P}=5\end{aligned}$

A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an…

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